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Discrete Math and Analyzing Social Graphs
Week 3
Probabilities by definition

QuizQuiz • 20 min20 minutes

Probabilities by definition

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Probabilities by definition

Graded Quiz • 20 min

Due Mar 9, 3:59 AM EDT

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Probabilities by definition

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1.

Question 1

A fair coin tossed 3 times. What is the probability of event Results of the first tossing and of the second tossing coincide? Enter proper fraction.

1 / 1 point

\frac{1}{2}

4/8

Correct

We have 4 outcomes that satisfy our event: HHT, TTT, HHH, TTH. The overall number of outcomes is $2^3=8$ . So the probability is 4/8=1/2.

2.

Question 2

A pair of fair dices rolled. What is the probability of event Sum of points is greater than 10? Enter proper irreducible fraction.

1 / 1 point

\frac{1}{12}

1/12

Correct

There are 3 outcomes that satisfy the conditon: 5+6, 6+5 and 6+6. Thus we have probaility 3/36=1/12.

3.

Question 3

A fair coin tossed 10 times. What is the probability of event At least one tail occured?

1 / 1 point

$1-\frac{1}{10}$

$\frac{1}{10}$

$\frac{2^9}{2^{10}}$

$1-\frac{1}{2^{10}}$

Correct